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Simplifying 12 = 0.25(4 + 2x) + -16 12 = (4 * 0.25 + 2x * 0.25) + -16 12 = (1 + 0.5x) + -16 Reorder the terms: 12 = 1 + -16 + 0.5x Combine like terms: 1 + -16 = -15 12 = -15 + 0.5x Solving 12 = -15 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 12 + -0.5x = -15 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 12 + -0.5x = -15 + 0.0 12 + -0.5x = -15 Add '-12' to each side of the equation. 12 + -12 + -0.5x = -15 + -12 Combine like terms: 12 + -12 = 0 0 + -0.5x = -15 + -12 -0.5x = -15 + -12 Combine like terms: -15 + -12 = -27 -0.5x = -27 Divide each side by '-0.5'. x = 54 Simplifying x = 54
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